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11 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I08828 2020 eBook  
12 Coecke, Bob Current Research in Operational Quantum Logic I11348 2000 eBook  
13 Cassinelli, Gianni The Theory of Symmetry Actions in Quantum Mechanics I11185 2004 eBook  
14 Kramer, Peter Coverings of Discrete Quasiperiodic Sets I11119 2003 eBook  
15 Liboff, Richard Primer for Point and Space Groups I10645 2004 eBook  
16 Duplij, S Concise Encyclopedia of Supersymmetry I10524 2004 eBook  
17 Rosen, Joseph Symmetry Rules I07401 2008 eBook  
18 Cicogna, Giampaolo Metodi matematici della Fisica I07356 2015 eBook  
19 Damnjanovic, Milan Line Groups in Physics I07341 2010 eBook  
20 Carrozza, Sylvain Tensorial Methods and Renormalization in Group Field Theories I07255 2014 eBook  
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11.    
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, Springer International Publishing, 2020.
DescriptionXII, 218 p. 9 illus : online resource
Abstract NoteThis book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
ISBN,Price9783030594725
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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12.     
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TitleCurrent Research in Operational Quantum Logic : Algebras, Categories, Languages
Author(s)Coecke, Bob;Moore, David;Wilce, Alexander
PublicationDordrecht, Springer Netherlands, 2000.
DescriptionVII, 325 p : online resource
Abstract NoteThe present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati?? cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic
ISBN,Price9789401712019
Keyword(s)1. ALGEBRA 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. Category theory (Mathematics) 5. Category Theory, Homological Algebra 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. GROUP THEORY 10. Group Theory and Generalizations 11. Homological algebra 12. Order, Lattices, Ordered Algebraic Structures 13. Ordered algebraic structures 14. QUANTUM PHYSICS
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13.     
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TitleThe Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group
Author(s)Cassinelli, Gianni;Vito, Ernesto;Levrero, Alberto;Lahti, Pekka J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXII, 111 p : online resource
Abstract NoteThis is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given
ISBN,Price9783540445098
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. LIE GROUPS 6. Mathematical Methods in Physics 7. PHYSICS 8. QUANTUM PHYSICS 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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14.     
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TitleCoverings of Discrete Quasiperiodic Sets : Theory and Applications to Quasicrystals
Author(s)Kramer, Peter;Papadopolos, Zorka
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2003.
DescriptionXV, 273 p : online resource
Abstract NoteCoverings are efficient ways to exhaust Euclidean N-space with congruent geometric objects. Discrete quasiperiodic systems are exemplified by the atomic structure of quasicrystals. The subject of coverings of discrete quasiperiodic sets emerged in 1995. The theory of these coverings provides a new and fascinating perspective of order down to the atomic level. The authors develop concepts related to quasiperiodic coverings and describe results. Specific systems in 2 and 3 dimensions are described with many illustrations. The atomic positions in quasicrystals are analyzed
ISBN,Price9783540458050
Keyword(s)1. CRYSTALLOGRAPHY 2. Crystallography and Scattering Methods 3. EBOOK 4. EBOOK - SPRINGER 5. GROUP THEORY 6. Group Theory and Generalizations 7. Phase transitions (Statistical physics) 8. Phase Transitions and Multiphase Systems
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15.     
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TitlePrimer for Point and Space Groups
Author(s)Liboff, Richard
PublicationNew York, NY, Springer New York, 2004.
DescriptionXIV, 220 p : online resource
Abstract NoteThis text stems from a course I have taught a number of times, attended by students of material science, electrical engineering, physics, chemistry, physical chemistry and applied mathematics. It is intended as an intro?? ductory discourse to give the reader a first encounter with group theory. The work concentrates on point and space groups as these groups have the principal application in technology. Here is an outline of the salient features of the chapters. In Chapter 1, basic notions and definitions are introduced including that of Abelian groups, cyclic groups, Sylow's theorems, Lagrange's subgroup theorem and the rearrangement theorem. In Chapter 2, the concepts of classes and direct products are discussed. Applications of point groups to the Platonic solids and non-regular dual polyhedra are described. In Chapter 3, matrix representation of operators are introduced leading to the notion of irreducible representations ('irreps'). The Great Orthogonal?? ity Theorem (GOT) is also introduced, followed by six important rules relating to dimensions of irreps. Schur's lemma and character tables are described. Applications to quantum mechanics are discussed in Chapter 4 including descriptions of the rotation groups in two and three dimensions, the symmetric group, Cayley's theorem and Young diagrams. The relation of degeneracy of a quantum state of a system to dimensions of irreps of the group of symmetries of the system are discussed, as well as the basis properties of related eigenfunctions
ISBN,Price9781468493832
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. GROUP THEORY 7. Group Theory and Generalizations 8. PHYSICAL CHEMISTRY 9. PHYSICS 10. Physics, general
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16.     
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TitleConcise Encyclopedia of Supersymmetry : And Noncommutative Structures in Mathematics and Physics
Author(s)Duplij, S
PublicationDordrecht, Springer Netherlands, 2004.
DescriptioneReference : online resource
Abstract NoteThe book is the first full-size Encyclopedia which simultaneously covers such well-established and modern subjects as quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 high-level experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics
ISBN,Price9781402045226
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Rings (Algebra) 9. Theoretical, Mathematical and Computational Physics
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17.     
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TitleSymmetry Rules : How Science and Nature Are Founded on Symmetry
Author(s)Rosen, Joseph
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionXIV, 305 p. 86 illus : online resource
Abstract NoteWhen we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. In fact, modern theoretical physics suggests that symmetry is a, if not the, foundational principle of nature. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. It is shown that the Universe cannot possess exact symmetry, which is a principle of fundamental significance. Curie's principle - which states that the symmetry of the effect is at least that of the cause - features prominently. An introduction to group theory, the mathematical language of symmetry, is included. This book will convince all interested readers of the importance of symmetry in science. Furthermore, it will serve as valuable background reading for all students in the physical sciences
ISBN,Price9783540759737
Keyword(s)1. AESTHETICS 2. EBOOK 3. EBOOK - SPRINGER 4. GROUP THEORY 5. Group Theory and Generalizations 6. Mathematical Methods in Physics 7. PHYSICS
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18.     
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, Springer Milan, 2015.
DescriptionX, 258 pagg. 22 figg : online resource
Abstract NoteQuesto libro trae la sua origine dagli appunti preparati per le lezioni di Metodi Matematici della Fisica tenute al Dipartimento di Fisica dell'Universit?? di Pisa, e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'intento generale ?? di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici basilari e rilevanti per la Fisica. Anche allo scopo di mantenere questo testo entro i limiti di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso sacrificati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e anche i formalismi eccessivi, che tendono a nascondere la vera natura dei problemi. Al contrario, si ?? cercato di evidenziare ??? per quanto possibile ??? le idee sottostanti e le motivazioni che conducono ai diversi procedimenti. L'obiettivo principale e quello di mettere in condizione chi ha letto questo libro di acquisire gli strumenti adatti e le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi pi?? avanzati e impegnativi. Questa nuova Edizione conserva la struttura generale della prima Edizione, ma ?? arricchita dall'inserimento di numerosi esempi (e controesempi), con nuove osservazioni e chiarimenti su tutti gli argomenti proposti: Serie di Fourier, Spazi di Hilbert, Operatori lineari, Funzioni di Variabile complessa, Trasformate di Fourier e di Laplace, Distribuzioni. Inoltre, le prime nozioni della Teoria dei Gruppi, delle Algebre di Lie e delle Simmetrie in Fisica (che erano confinate in una Appendice nella Prima Edizione) vengono ora proposte in una forma sensibilmente ampliata, con vari esempi in vista delle applicazioni alla Fisica. In particolare, due nuovi Capitoli sono dedicati allo studio delle propriet?? di simmetria dell'atomo di idrogeno e dell'oscillatore armonico in Meccanica Quantistica
ISBN,Price9788847056848
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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19.     
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TitleLine Groups in Physics : Theory and Applications to Nanotubes and Polymers
Author(s)Damnjanovic, Milan;Milosevic, Ivanka
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXII, 200 p. 38 illus : online resource
Abstract NoteThis volume gives a detailed and up-to-date overview of the line groups, the groups that describe the symmetry of quasi-one dimensional crystals. Nanotubes, nanowires, nanosprings, nanorods, and polymers are examples remarkable enough to have kept nanoscience as a leading field within material science and solid state physics for more than fifteen years now. The authors present the mathematical foundations, including classifications of the line groups, quasi one-dimensional crystals and quantum numbers, together with important applications. Extensive illustrations related to the physics of nanotubes make the book essential reading in this field above all. The book clearly demonstrates how symmetry is a most profound property of nature and contains valuable results that are published here for the first time
ISBN,Price9783642111723
Keyword(s)1. CRYSTALLOGRAPHY 2. Crystallography and Scattering Methods 3. EBOOK 4. EBOOK - SPRINGER 5. GROUP THEORY 6. Group Theory and Generalizations 7. MATHEMATICAL PHYSICS 8. NANOTECHNOLOGY 9. Polymer Sciences 10. Polymers???? 11. Theoretical, Mathematical and Computational Physics
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20.    
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TitleTensorial Methods and Renormalization in Group Field Theories
Author(s)Carrozza, Sylvain
PublicationCham, Springer International Publishing, 2014.
DescriptionXV, 226 p. 51 illus : online resource
Abstract NoteThe main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and, on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs, and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity
ISBN,Price9783319058672
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. COSMOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GRAVITATION 8. GROUP THEORY 9. Group Theory and Generalizations 10. MATHEMATICAL PHYSICS 11. QUANTUM FIELD THEORY
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